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Finding the Fourth Proportional to 3,047.75, 4,572.40 and 1,405.46

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Solution

The fourth proportional to 3,047.75, 4,572.40 and 1,405.46 is: 2,108.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.75 : 4,572.40 = 1,405.46 : x
  2. Step 2: Convert to fraction form
    3,047.75/4,572.40 = 1,405.46/x
  3. Step 3: Cross multiply
    3,047.75x = 4,572.40 × 1,405.46
  4. Step 4: Simplify right side
    3,047.75x = 6,426,298.93
  5. Step 5: Solve for x
    x = 6,426,298.93/3,047.75
  6. Step 6: Final answer
    x = 2,108.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.